21 papers · ranked by Valyu relevance
Markus Grassl, Martin Rötteler
—We consider quantum MDS (QMDS) codes for quantum systems of dimension q with lengths up to q 2 + 2 and minimum distances up to q + 1. We show how starting from QMDS codes of length q 2 + 1 based on cyclic and constacyclic codes, new QMDS codes can be obtained by shortening. We provide numerical evidence for our…
Xianmang He, Jingli Wang, Chunfang Huang, Yindong Chen + 1 more
'Alemayehu Getahun Kumela'] In the past decade, the construction of quantum maximum distance separable codes (MDS for short) has been extensively studied. For the length n = q 2 − 1 m, where m is an integer that divides either q + 1 or q − 1, a complete set of results has been available. In this paper, we dedicate to a…
Weijun Fang, Fang‐Wei Fu
It is an important task to construct quantum maximum-distance-separable (MDS) codes with good parameters. In the present paper, we provide six new classes of q-ary quantum MDS codes by using generalized Reed-Solomon (GRS) codes and Hermitian construction. The minimum distances of our quantum MDS codes can be larger…
Felix Huber, Markus Grassl
We present new bounds on the existence of general quantum maximum distance separable codes (QMDS): the length n of all QMDS codes with local dimension D and distance d ≥ 3 is bounded by n ≤ D2 + d − 2. We obtain their weight distribution and present additional bounds that arise from Rains' shadow inequalities. Our main…
Beatriz Barbero-Lucas, Fernando Hernando, Helena Martín-Cruz, Gary McGuire
'Gary McGuire'] We construct new stabilizer quantum error-correcting codes from generalized monomial-Cartesian codes. Our construction uses an explicitly defined twist vector, and we present formulas for the minimum distance and dimension. Generalized monomial-Cartesian codes arise from polynomials in m variables. When…
Xiaolei Fang, Jinquan Luo
In this paper, we present three new classes of q-ary quantum MDS codes utilizing generalized Reed-Solomon codes satisfying Hermitian self-orthogonal property. Among our constructions, the minimum distance of some q-ary quantum MDS codes can be bigger than q 2 + 1. Comparing to previous known constructions, the lengths…
Liqi Wang, Shixin Zhu
Quantum error-correcting codes play an important role in both quantum communication and quantum computation. It has experienced a great progress since the establishment of the connections between quantum codes and classical codes (see [4]). It was shown that the construction of quantum codes can be reduced to that of…
Xianmang He, Liqing Xu, Hao Chen
Constructions of quantum MDS codes have been studied by many authors. We refer to the table in page 1482 of [3] for known constructions. However there have been constructed only a few q-ary quantum MDS [[n, n−2d+2, d]]q codes with minimum distances d > q 2 for sparse lengths n > q + 1. In the case n = q 2−1 m where m|q…
Lanqiang Li, Fuyin Tian, Ziwen Cao, Li Liu
The advancement of Quantum Error-Correcting (QEC) Maximum Distance Separable (MDS) codes holds substantial importance in practical applications, substantially augmenting the reliability and efficiency of quantum communication and computing. This paper introduces two new classes of QEC MDS codes, which are devised…
Jianzhang Chen, Wanchuan Fang, Shuo Zhou, Jie Qiu + 6 more
'Yixin Xu' 'Bozhe Zeng' 'Youqin Chen' 'Jaewan Kim' 'Kabgyun Jeong'] Due to the asymmetry of quantum errors, phase-shift errors are more likely to occur than qubit-flip errors. Consequently, there is a need to develop asymmetric quantum error-correcting (QEC) codes that can safeguard quantum information transmitted…
Francisco Revson F. Pereira, Stefano Mancini, Giuliano Benenti, Brian R. La Cour
'Brian R. La Cour'] Entanglement-assisted quantum-error-correcting (EAQEC) codes are quantum codes which use entanglement as a resource. These codes can provide better error correction than the (entanglement unassisted) codes derived from the traditional stabilizer formalism. In this paper, we provide a general method…
Patrícia Verdugo Pascoal, Deborah Bambil, Rayane N. Lima, Marco Antônio de Oliveira + 3 more
Quantum biology is an emergent field that investigates quantum-mechanical phenomena, such as superposition, tunneling, and entanglement, in the context of data manipulation from living systems. The exploration and engineering of nucleotide sequences rely on quantum mechanical principles, particularly the use of qubit…
Patrícia Verdugo Pascoal, Deborah Bambil, Luisa Mayumi Arake de Tacca, Rayane Nunes Lima + 3 more
The accelerated exploration and engineering of nucleotide sequences are directed towards quantum mechanics and their intrinsic entanglements, implementing the qubits states, including the development of algorithms. The production rate of biological sequencing data has increased to approximately 1 Gb/h, but the ability…
Authors not listed
This work provides a rigorous theoretical investigation of selective error correction strategies for variational quantum algorithms, with focus on understanding the interplay between error suppression, circuit trainability, and computational resource requirements. We develop a mathematical framework that characterizes…
Authors not listed
The Hidden Subgroup Problem (HSP) unifies several landmark quantum algorithms, yet systematic exploration of its variants and modern applications has slowed. This paper revives HSP-based algorithm design by examining new group structures with direct relevance to post-quantum cryptography, lattice problems, and…
Edward Otieno, Katarzyna Matczyszyn, Nelson Mokaya
Quantum computing promises exponential advances in information processing, necessitating the development of appropriate materials for implementing quantum qubits and gates. Liquid crystals, known for their electro-optical characteristics and use in displays, have recently received attention as prospective candidates…
Authors not listed
One of the main applications for which quantum computers are hoped to find utility is in simulating ground state energies and other observables of molecular chemical systems. The recently proposed sample-based diagonalization method is a readily implementable method for this task on current-day hardware using short…
Authors not listed
Strong coupling and environmental memory render many open quantum systems intractable to classical computation. To overcome this barrier, we present a variational quantum algorithm capable of solving generalized form time-local quantum master equations directly on Noisy Intermediate-Scale Quantum (NISQ) processors. Our…
Daniele Romanello, Andrea Romanello
This study presents the hypothesis that triosephosphate isomerase (TIM), a pivotal enzyme in glycolysis, functions as a quantum logic gate. Utilizing quantum mechanics, we model TIM’s catalytic conversion of dihydroxyacetone phosphate (DHAP) to glyceraldehyde-3-phosphate (G3P) as a quantum operation involving precise…
Basel Mansour, Daniel Kei Takahashi, George Rafaelyan
Accurate prediction of Absorption, Distribution, Metabolism, Excretion, and Toxicity (ADMET) properties is a central challenge in early-stage drug discovery, where experimental determination remains costly and time-consuming. In this work, we propose a quantum-inspired preprocessing framework in which statistical…
Samarth Sandeep, Vaibhav Gupta, Torin Keenan
Iff Technologies has constructed a tool named Polar+ that can predict protein-to-protein binding sites on a given receptor protein that operates faster and at a higher quality than the prominent industry standards for protein binding, including Autodock Vina and SwissDock. The ability to provide this advantage comes…